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1102200020 = 225232818527
BaseRepresentation
bin100000110110010…
…0011110011010100
32211210222120011222
41001230203303110
54224130400040
6301211545512
736212355065
oct10154436324
92753876158
101102200020
11516188209
1226915b298
1314747117c
14a655256c
1566b6cbb5
hex41b23cd4

1102200020 has 48 divisors (see below), whose sum is σ = 2424135168. Its totient is φ = 420161280.

The previous prime is 1102200019. The next prime is 1102200053. The reversal of 1102200020 is 200022011.

It is a junction number, because it is equal to n+sod(n) for n = 1102199980 and 1102200007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124997 + ... + 133523.

It is an arithmetic number, because the mean of its divisors is an integer number (50502816).

Almost surely, 21102200020 is an apocalyptic number.

1102200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212067584).

1102200020 is an abundant number, since it is smaller than the sum of its proper divisors (1321935148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1102200020 is a wasteful number, since it uses less digits than its factorization.

1102200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8840 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1102200020 is about 33199.3978861063. The cubic root of 1102200020 is about 1032.9678501658.

Adding to 1102200020 its reverse (200022011), we get a palindrome (1302222031).

The spelling of 1102200020 in words is "one billion, one hundred two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 281 460 562 1124 1405 2810 5620 6463 8527 12926 17054 25852 32315 34108 42635 64630 85270 129260 170540 196121 392242 784484 980605 1961210 2396087 3922420 4792174 9584348 11980435 23960870 47921740 55110001 110220002 220440004 275550005 551100010 1102200020